PRIMARY DECOMPOSITION OF A 0-CONNECTED NILPOTENT SPACE
DOI:
https://doi.org/10.24297/jam.v11i7.1221Keywords:
Category of fractions, Calculus of right fractions, Adams cocompletion, Primary homotopy theory, Nilpotent Space, Cartan-Whitehead decomposition.Abstract
It is known that the dierent stages of the Cartan-Whitehead decomposition of a 0-connected space can be obtained as the Adams cocompletions of the space with respect to suitable sets of morphisms. In this note Cartan-Whitehead decomposition is obtained for a nilpotent space, in terms of Adams cocompletion, using the primary homotopy theory developed by Neisendonfer.
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